Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 477, 318, 85, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 318, 85, 585 is 1
GCD(477, 318, 85, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 318, 85, 585 is 1
GCD(477, 318, 85, 585) = 1
Given Input numbers are 477, 318, 85, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Greatest Common Divisior
We found the divisors of 477, 318, 85, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 318, 85, 585 is 1.
Therefore, GCD of numbers 477, 318, 85, 585 is 1
Given Input Data is 477, 318, 85, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 85 is 5 x 17
Prime Factorization of 585 is 3 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(477, 318) = 954
GCD(477, 318) = ( 477 x 318 ) / 954
GCD(477, 318) = 151686 / 954
GCD(477, 318) = 159
Step2:
Here we consider the GCD from the above i.e. 159 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(159, 85) = 13515
GCD(159, 85) = ( 159 x 85 ) / 13515
GCD(159, 85) = 13515 / 13515
GCD(159, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
GCD of 477, 318, 85, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 318, 85, 585?
GCD of 477, 318, 85, 585 is 1
2. Where do I get the detailed procedure to find GCD of 477, 318, 85, 585?
You can find a detailed procedure to find GCD of 477, 318, 85, 585 on our page.
3. How to find GCD of 477, 318, 85, 585 on a calculator?
You can find the GCD of 477, 318, 85, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.